f(x) = 4x^2 -5x+5
Find f(x+4)
f (x+4) = 4(x+4)^2 -5(x+4) + 5
= 4(x^2+16+8x) -5x -20 + 5
= 4x^2 + 64 + 32x -5x -20 +5
= 4x^2 +27x + 49
Option B is correct answer.
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